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## Gromak, Valeriĭ Ivanovich

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 Author ID: gromak.valerii-ivanovich Published as: Gromak, V.; Gromak, V. I.; Gromak, Valeri; Gromak, Valerii; Gromak, Valerii I.; Gromak, Valeriĭ Ivanovic; Gromak, Valery I. External Links: Math-Net.Ru
 Documents Indexed: 70 Publications since 1973, including 2 Books Biographic References: 1 Publication
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#### Co-Authors

 36 single-authored 10 Tsegel’nik, V. V. 5 Filipuk, Galina V. 4 Gaĭshun, Ivan Vasil’vich 3 Lukashevich, N. A. 2 Il’in, Vladimir Aleksandrovich 2 Izobov, Nikolaĭ Alekseevich 2 Zenchenko, Alexandra S. 1 Amel’kin, Vladimir Vasilievich 1 Andreev, Alekseĭ Fedorovich 1 Atrokhov, K. G. 1 Bachurina, E. V. 1 Golubeva, L. L. 1 Gorokhovik, Valentin Vikent’evich 1 Gricuk, Evgenii 1 Grigor’ev, A. A. 1 Gritsuk, E. V. 1 He, Yuzan 1 Kozulin, A. V. 1 Kozynin, A. V. 1 Laine, Ilpo 1 Laputskiĭ, A. I. 1 Pilipchuk, Ludmila A. 1 Shimomura, Shun 1 Stepanova, T. S. 1 Vasilevich, N. D. 1 Yurchuk, Nikolay Iossifovich
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#### Serials

 18 Differential Equations 13 Differential Equations 6 Differentsial’nye Uravneniya 5 Doklady Akademii Nauk BSSR 5 Vestnik Belorusskogo Gosudarstvennogo Universiteta. Seria 1. Fizika, Matematika, Informatika 3 Izvestiya Akademii Nauk BSSR. Seriya Fiziko-Matematicheskikh Nauk 2 Theoretical and Mathematical Physics 2 Trudy Instituta Matematiki 2 Mathematical Modelling and Analysis 1 Teoreticheskaya i Matematicheskaya Fizika 1 Vestnik Belorusskogo Gosudarstvennogo Universiteta Imeni V. I. Lenina. Seriya I 1 Journal of Nonlinear Mathematical Physics 1 De Gruyter Studies in Mathematics
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#### Fields

 60 Ordinary differential equations (34-XX) 11 Partial differential equations (35-XX) 6 Special functions (33-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 2 Quantum theory (81-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH

33 Publications have been cited 237 times in 185 Documents Cited by Year
Painlevé differential equations in the complex plane. Zbl 1043.34100
Gromak, V. I.; Laine, Ilpo; Shimomura, Shun
2002
Analytic properties of solutions of Painlevé equations. Zbl 0752.34003
Gromak, V. I.; Lukashevich, N. A.
1990
Bäcklund transformations of Painlevé equations and their applications. Zbl 1023.34082
Gromak, Valerii I.
1999
Theory of the fourth Painlevé equation. Zbl 0647.34004
Gromak, V. I.
1987
Special classes of solutions of Painlevé’s equations. Zbl 0526.34002
Gromak, V. I.; Lukashevich, N. A.
1982
Theory of Painleve’s equation. Zbl 0329.34006
Gromak, V. I.
1976
Reducibility of Painlevé equations. Zbl 0573.34009
Gromak, V. I.
1984
On fourth-order nonlinear differential equations with the Painlevé property. Zbl 1148.34057
Gromak, V. I.
2006
Integrability of complex Pfaffian equations. Zbl 0505.58003
Vasilevich, N. D.; Gromak, V. I.
1981
Nonlinear evolution equations and P-type controls. Zbl 0599.34042
Gromak, V. I.
1984
On the theory of higher-order Painlevé equations. Zbl 1088.34076
Gromak, V. I.; Zenchenko, A. S.
2004
On algebraic solutions of the fifth Painlevé equation. Zbl 1068.34084
Gromak, V. I.; Filipuk, G. V.
2003
The Bäcklund transformations of the fifth Painlevé equation and their applications. Zbl 1015.34078
Gromak, V.; Filipuk, G.
2001
Bäcklund transformations of the higher order Painlevé equations. Zbl 1006.34086
Gromak, V. I.
2001
Functional relations among solutions to the fifth Painlevé equation. Zbl 0997.34086
Gromak, V. I.; Filipuk, G. V.
2001
The first higher-order Painlevé equation. Zbl 0939.34075
Gromak, V. I.
1999
On the transcendence of Painlevé equations. Zbl 0880.34005
Gromak, V. I.
1996
System of three-wave resonant interaction and P-type equations. Zbl 0691.35082
Gromak, V. I.; Tsegel’nik, V. V.
1989
Solutions of the second Painleve equation. Zbl 0513.34002
Gromak, V. I.
1982
Solutions of the third Painleve equation. Zbl 0305.34002
Gromak, V. I.
1975
Solutions of the fourth-order equation in the generalized hierarchy of the second Painlevé equation. Zbl 1422.30039
Gromak, V. I.
2019
A remark on the theory of nonlinear differential equations with the Painlevé property. Zbl 1219.34114
Gritsuk, E. V.; Gromak, V. I.
2010
On solutions of the Chazy system. Zbl 1144.34058
Gromak, V. I.
2007
The power expansions of the solutions of the first Painlevé hierarchy. Zbl 1127.34054
Grigor’ev, A. A.; Gromak, V. I.
2006
On the transformations of the sixth Painlevé equation. Zbl 1362.34128
Gromak, Valery I.; Filipuk, Galina
2003
On the algebraic dependence of solutions to the second Painlevé equation. Zbl 1033.34090
Gromak, V. I.
2002
On solutions to the second Painlevé equation of higher order. Zbl 0988.34078
Gromak, V. I.; He, Yuzan
2000
Some properties of the Bäcklund transformations of the Painlevé equations. Zbl 0891.34041
Gromak, V. I.; Tsegel’nik, V. V.
1996
The fifth and sixth Painlevé equations are transcendental. Zbl 0884.34006
Gromak, V. I.
1996
Functional relations between solutions to $$P$$-type equations. Zbl 0852.34009
Gromak, V. I.; Tsegel’nik, V. V.
1994
On the solutions of a system of three differential equations with quadratic nonlinearities. Zbl 0727.34008
Gromak, V. I.; Tsegel’nik, V. V.
1991
Algebraic solutions of the third Painleve equation. Zbl 0441.34003
Gromak, V. I.
1979
Solutions of Painleve’s fifth problem. Zbl 0365.34011
Gromak, V. I.
1977
Solutions of the fourth-order equation in the generalized hierarchy of the second Painlevé equation. Zbl 1422.30039
Gromak, V. I.
2019
A remark on the theory of nonlinear differential equations with the Painlevé property. Zbl 1219.34114
Gritsuk, E. V.; Gromak, V. I.
2010
On solutions of the Chazy system. Zbl 1144.34058
Gromak, V. I.
2007
On fourth-order nonlinear differential equations with the Painlevé property. Zbl 1148.34057
Gromak, V. I.
2006
The power expansions of the solutions of the first Painlevé hierarchy. Zbl 1127.34054
Grigor’ev, A. A.; Gromak, V. I.
2006
On the theory of higher-order Painlevé equations. Zbl 1088.34076
Gromak, V. I.; Zenchenko, A. S.
2004
On algebraic solutions of the fifth Painlevé equation. Zbl 1068.34084
Gromak, V. I.; Filipuk, G. V.
2003
On the transformations of the sixth Painlevé equation. Zbl 1362.34128
Gromak, Valery I.; Filipuk, Galina
2003
Painlevé differential equations in the complex plane. Zbl 1043.34100
Gromak, V. I.; Laine, Ilpo; Shimomura, Shun
2002
On the algebraic dependence of solutions to the second Painlevé equation. Zbl 1033.34090
Gromak, V. I.
2002
The Bäcklund transformations of the fifth Painlevé equation and their applications. Zbl 1015.34078
Gromak, V.; Filipuk, G.
2001
Bäcklund transformations of the higher order Painlevé equations. Zbl 1006.34086
Gromak, V. I.
2001
Functional relations among solutions to the fifth Painlevé equation. Zbl 0997.34086
Gromak, V. I.; Filipuk, G. V.
2001
On solutions to the second Painlevé equation of higher order. Zbl 0988.34078
Gromak, V. I.; He, Yuzan
2000
Bäcklund transformations of Painlevé equations and their applications. Zbl 1023.34082
Gromak, Valerii I.
1999
The first higher-order Painlevé equation. Zbl 0939.34075
Gromak, V. I.
1999
On the transcendence of Painlevé equations. Zbl 0880.34005
Gromak, V. I.
1996
Some properties of the Bäcklund transformations of the Painlevé equations. Zbl 0891.34041
Gromak, V. I.; Tsegel’nik, V. V.
1996
The fifth and sixth Painlevé equations are transcendental. Zbl 0884.34006
Gromak, V. I.
1996
Functional relations between solutions to $$P$$-type equations. Zbl 0852.34009
Gromak, V. I.; Tsegel’nik, V. V.
1994
On the solutions of a system of three differential equations with quadratic nonlinearities. Zbl 0727.34008
Gromak, V. I.; Tsegel’nik, V. V.
1991
Analytic properties of solutions of Painlevé equations. Zbl 0752.34003
Gromak, V. I.; Lukashevich, N. A.
1990
System of three-wave resonant interaction and P-type equations. Zbl 0691.35082
Gromak, V. I.; Tsegel’nik, V. V.
1989
Theory of the fourth Painlevé equation. Zbl 0647.34004
Gromak, V. I.
1987
Reducibility of Painlevé equations. Zbl 0573.34009
Gromak, V. I.
1984
Nonlinear evolution equations and P-type controls. Zbl 0599.34042
Gromak, V. I.
1984
Special classes of solutions of Painlevé’s equations. Zbl 0526.34002
Gromak, V. I.; Lukashevich, N. A.
1982
Solutions of the second Painleve equation. Zbl 0513.34002
Gromak, V. I.
1982
Integrability of complex Pfaffian equations. Zbl 0505.58003
Vasilevich, N. D.; Gromak, V. I.
1981
Algebraic solutions of the third Painleve equation. Zbl 0441.34003
Gromak, V. I.
1979
Solutions of Painleve’s fifth problem. Zbl 0365.34011
Gromak, V. I.
1977
Theory of Painleve’s equation. Zbl 0329.34006
Gromak, V. I.
1976
Solutions of the third Painleve equation. Zbl 0305.34002
Gromak, V. I.
1975
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#### Cited by 181 Authors

 17 Kudryashov, Nikolaĭ Alekseevich 12 Clarkson, Peter A. 12 Grammaticos, Basil 12 Ramani, Alfred 9 Filipuk, Galina V. 9 Gromak, Valeriĭ Ivanovich 8 Bruno, Alexander Dmitrievich 8 Goryuchkina, Irina V. 7 Rogers, Colin 7 Tamizhmani, K. M. 5 Chen, Yang 5 Shimomura, Shun 4 Fornberg, Bengt 4 Tamizhmani, Thamizharasi 3 Dai, Dan 3 Deaño, Alfredo 3 Demina, Maria V. 3 Gordoa, Pilar Ruiz 3 Ohta, Yasuhiro 3 Pickering, Andrew 3 Sasaki, Yoshikatsu 3 Slavyanov, Sergeĭ Yur’evich 3 Takahashi, Daisuke A. 3 Top, Jaap 3 Tsegel’nik, V. V. 3 van der Put, Marius 3 Weideman, J. André C. 2 Acosta Humánez, Primitivo Belén 2 Adler, Vsevolod Eduardovich 2 Amel’kin, Vladimir Vasilievich 2 Babich, Mikhail Vasil’evich 2 Bassom, Andrew P. 2 Bershteĭn, Mikhaĭl Aleksandrovich 2 Blower, Gordon 2 Brezhnev, Yurii V. 2 Chen, Min 2 Chen, Zhijie 2 Chen, Zongxuan 2 Chiang, Yik-Man 2 Ciechanowicz, Ewa 2 Deift, Percy A. 2 Dubrovin, Boris Anatol’evich 2 Dunajski, Maciej 2 Fan, Engui 2 Fasondini, Marco 2 Feng, Shaoji 2 Ghose Choudhury, Anindya 2 Guha, Partha 2 Hone, Andrew N. W. 2 Huang, Zhibo 2 Its, Alexander Rudolfovich 2 Kapaev, Andrei A. 2 Kecker, Thomas 2 Korhonen, Risto 2 Kuo, Ting-Jung 2 Laine, Ilpo 2 Lin, Chang-Shou 2 Mugan, Ugurhan 2 Nijhoff, Frank W. 2 Novokshenov, Viktor Yur’evich 2 Papageorgiou, Vassilios G. 2 Sakka, Ayman Hashem 2 Satsuma, Junkichi 2 Shchechkin, A. I. 2 Steinmetz, Norbert 2 Vasilevich, M. N. 2 Zhang, Lun 1 Aleksandrov, Aleksandr Grigor’evich 1 Alves, V. C. C. 1 Amster, Pablo 1 Aratyn, Henrik 1 Atrokhov, K. G. 1 Bagderina, Yuliya Yur’evna 1 Basor, Estelle L. 1 Bleher, Pavel M. 1 Bonelli, Giulio 1 Borisov, Alekseĭ Vladimirovich 1 Bougoffa, Lazhar 1 Bracken, Paul Francis 1 Cârstea, Adrian Ştefan 1 Chankaev, M. Kh. 1 Charlier, Christophe 1 Chen, Hongmei 1 Chen, Min 1 Chen, Yang 1 Chiba, Hayato 1 Christodoulakis, Theodosios 1 Contatto, Felipe 1 Conte, Robert M. 1 Costin, Rodica D. 1 Dai, Dashuang 1 Dereziński, Jan 1 Efimova, Olga Yu. 1 Eremenko, Alexandre Émmanuilovich 1 Gabrielov, Andrei 1 Gamkrelidze, Revaz Valerianovich 1 Goldstein, Piotr P. 1 Gomes, Jose Francisco 1 Gómez-Ullate, David 1 Gontsov, Renat R. ...and 81 more Authors
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#### Cited in 59 Serials

 11 Physics Letters. A 10 Differential Equations 10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 9 Journal of Mathematical Analysis and Applications 9 Journal of Mathematical Physics 9 Theoretical and Mathematical Physics 8 Chaos, Solitons and Fractals 7 Physica D 7 Journal of Mathematical Sciences (New York) 7 Computational Methods and Function Theory 6 Doklady Mathematics 6 Journal of Nonlinear Mathematical Physics 5 Journal of Differential Equations 5 Regular and Chaotic Dynamics 4 Applied Mathematics and Computation 4 Studies in Applied Mathematics 4 Constructive Approximation 4 Random Matrices: Theory and Applications 3 Journal d’Analyse Mathématique 3 Letters in Mathematical Physics 3 Journal of Computational and Applied Mathematics 3 Proceedings of the American Mathematical Society 3 Proceedings of the Japan Academy. Series A 2 General Relativity and Gravitation 2 Physica A 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Applied Mathematics and Computing 2 Journal of Physics A: Mathematical and Theoretical 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 Mathematical Notes 1 Nuclear Physics. B 1 Prikladnaya Matematika i Mekhanika 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Functional Analysis and its Applications 1 Meccanica 1 Nagoya Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Transactions of the Moscow Mathematical Society 1 Acta Applicandae Mathematicae 1 Computational Mathematics and Mathematical Physics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Russian Journal of Mathematical Physics 1 The Ramanujan Journal 1 Abstract and Applied Analysis 1 Journal of Dynamical and Control Systems 1 Nonlinear Analysis. Real World Applications 1 Foundations of Computational Mathematics 1 Advances in Difference Equations 1 Proceedings of the Steklov Institute of Mathematics 1 Differential Equations and Applications 1 Science China. Mathematics 1 Ufimskiĭ Matematicheskiĭ Zhurnal
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#### Cited in 28 Fields

 135 Ordinary differential equations (34-XX) 46 Special functions (33-XX) 36 Partial differential equations (35-XX) 34 Dynamical systems and ergodic theory (37-XX) 24 Functions of a complex variable (30-XX) 21 Difference and functional equations (39-XX) 8 Quantum theory (81-XX) 6 Algebraic geometry (14-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Probability theory and stochastic processes (60-XX) 4 Numerical analysis (65-XX) 3 General and overarching topics; collections (00-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX)